211211101112011 has 96 divisors (see below), whose sum is σ = 292045398111936. Its totient is φ = 150137608320000.

The previous prime is 211211101111891. The next prime is 211211101112023. The reversal of 211211101112011 is 110211101112112.

It is not a de Polignac number, because 211211101112011 - 2¹⁵ = 211211101079243 is a prime.

It is a super-2 number, since 2×211211101112011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211211101112911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 382593661 + ... + 383145313.

It is an arithmetic number, because the mean of its divisors is an integer number (3042139563666).

Almost surely, 2^{211211101112011} is an apocalyptic number.

211211101112011 is a deficient number, since it is larger than the sum of its proper divisors (80834296999925).

211211101112011 is a wasteful number, since it uses less digits than its factorization.

211211101112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552333 (or 552326 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 16.

Adding to 211211101112011 its reverse (110211101112112), we get a palindrome (321422202224123).

It can be divided in two parts, 211211101 and 112011, that added together give a palindrome (211323112).

The spelling of 211211101112011 in words is "two hundred eleven trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, eleven".